The number 84267
84267 is a composite number with 8 divisors. Its prime factorisation is × 3121. Divisors (8): 1, 3, 9, 27, 3121, 9363, 28089, 84267.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 84267: a Harshad number: divisible by its digit sum 27.
- 2
84267 is composite. Its prime factorisation is
- 3
The divisors add up to 124880; without 84267 itself that is 40613, so 84267 is deficient (40613 is less than 84267). Euler's totient φ(84267) = 56160 numbers up to 84267 share no factor with it.
- 4
The digits of 84267 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 81 steps to reach 1.
LaTeX source of the formulas on this page
\[ 84267 = 3^{3} \times 3121 \]84267 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 124880 |
| Euler totient φ(n) | 56160 |
| Square | 7100927289 |
| Cube | 598373839862163 |
| Square root | 290.287788 (= 3√9363) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 81 |
| Scientific notation | 8.4267 × |
84267 in other forms
| Form | Value |
|---|---|
| In words | eighty-four thousand two hundred and sixty-seven |
| Binary (base 2) | 10100100100101011 |
| Octal (base 8) | 244453 |
| Hexadecimal (base 16) | 1492B |
| Base 3 | 11021121000 |
| As time | 84267 seconds = 23 h 24 min 27 s |
Is 84267 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (84267 ÷ 3 = 28089) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (84267 ÷ 9 = 9363) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 84267 a prime number?
No. 84267 = × 3121, so it is divisible by 3.
What are the factors of 84267?
1, 3, 9, 27, 3121, 9363, 28089, 84267.
What is 84267 in binary?
10100100100101011 (hexadecimal 1492B, octal 244453).
What is the square root of 84267?
About 290.2878, exactly 3√9363.
Is 84267 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 84267?
84267 is a Harshad number: divisible by its digit sum 27.